Problema Solution
Terrance and Jesse are training for a long-distance race. Terrance trains at a rate of 6 miles every half hour, and Jesse trains at a rate of 2 miles every 15 minutes.
How long will each person take to run a total of 50 miles at the given rates?
Answer provided by our tutors
d = 50 mi the distance
t1 = the time of Terrance
t2 = the time of Jesse
Terrance trains at a rate of 6 miles every half hour thus his rate is:
v1 = 6/0.5 = 12 mph
Jesse trains at a rate of 2 miles every 15 minutes thus his rate is:
v2 = 2/(15/60) = 8 mph
since speed = distance/time follows time = distance/speed:
t1 = d/v1
t1 = 50/12
t1 = 4 1/6 hr
t1 = 4 hr 10 min
t2 = d/v2
t2 = 50/8
t2 = 6 1/4 hr
t2 = 6 hr 15 min
Terrance will run 4 hours and 10 minutes.
Jesse will run 6 hours and 15 minutes.
Answer:
1/-21
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
17
4
x+
−1
12
=6x
Step 2: Subtract 6x from both sides.
17
4
x+
−1
12
−6x=6x−6x
−7
4
x+
−1
12
=0
Step 3: Add 1/12 to both sides.
−7
4
x+
−1
12
+
1
12
=0+
1
12
−7
4
x=
1
12
Step 4: Multiply both sides by 4/(-7).
(
4
−7
)*(
−7
4
x)=(
4
−7
)*(
1
12
)
x=
−1
21
Answer:
2
Step-by-step explanation:
The slope, or rate of change in any function is the number multiplied by the independent variable (in this case x).
Consider, LHS
We know,
We know,
So, using this identity, we get
can be rewritten as
<h2>Hence,</h2>
